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Non-recursive expressions for even-index Bernoulli numbers: A remarkable sequence of determinants

Renaat Van Malderen
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Abstract

Bernoulli numbers are usually expressed in terms of their lower index numbers (recursive). This paper gives explicit formulas for Bernoulli numbers of even index. The formulas contain a remarkable sequence of determinants. The value of these determinants for variable dimension is investigated.

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Renaat Van Malderen. 2005-05-20. Non-recursive expressions for even-index Bernoulli numbers: A remarkable sequence of determinants. https://arxiv.org/abs/math/0505437

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